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Finding the Fourth Proportional to 383.83, 575.40 and 152.61

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Solution

The fourth proportional to 383.83, 575.40 and 152.61 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.83 : 575.40 = 152.61 : x
  2. Step 2: Convert to fraction form
    383.83/575.40 = 152.61/x
  3. Step 3: Cross multiply
    383.83x = 575.40 × 152.61
  4. Step 4: Simplify right side
    383.83x = 87,811.79
  5. Step 5: Solve for x
    x = 87,811.79/383.83
  6. Step 6: Final answer
    x = 228.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.